Description: gas resevoir simulation for CO2 sequestration
|(undirected graph drawing)|
|number of rows||1,391,349|
|number of columns||1,391,349|
|structural full rank?||yes|
|# of blocks from dmperm||9,229|
|# strongly connected comp.||9,229|
|explicit zero entries||399,730|
|nonzero pattern symmetry||symmetric|
|numeric value symmetry||symmetric|
|author||C. Janna, M. Ferronato|
Authors: Carlo Janna and Massimiliano Ferronato Symmetric Positive Definite Matrix # equations: 1,391,349 # non-zeroes: 64,531,701 Problem description: structural problem The matrix Serena is obtained from a structural problem discretizing a gas reservoir with tetrahedral Finite Elements. The medium is strongly heterogeneous and characterized by a complex geometry consisting of alternating sequences of thin clay and sand layers. Some further information may be found in the paper: M. Ferronato, G. Gambolati, C. Janna, P. Teatini. "Geomechanical issues of anthropogenic CO2 sequestration in exploited gas fields", Energy Conversion and Management, 51, pp. 1918-1928, 2010.
|nnz(chol(P*(A+A'+s*I)*P')) with AMD||7,502,311,154|
|Cholesky flop count||2.2e+14|
|nnz(L+U), no partial pivoting, with AMD||15,003,230,959|
|nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD||11,091,348,271|
|nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD||19,624,945,409|
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 399730 explicit zero entries.
For a description of the statistics displayed above, click here.
Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.